SOLUTION: Multiply {{{(r+1/3)(r+1/4)}}}

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Question 131894: Multiply %28r%2B1%2F3%29%28r%2B1%2F4%29
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28r%2B1%2F3%29%28r%2B1%2F4%29 Start with the given expression


Now let's FOIL the expression



Remember, when you FOIL an expression, you follow this procedure:


%28highlight%28r%29%2B1%2F3%29%28highlight%28r%29%2B1%2F4%29 Multiply the First terms:%28r%29%2A%28r%29=r%5E2


%28highlight%28r%29%2B1%2F3%29%28r%2Bhighlight%28y%29%29 Multiply the Outer terms:%28r%29%2A%281%2F4%29=%281%2F4%29r


%28r%2Bhighlight%281%2F3%29%29%28highlight%28r%29%2By%29 Multiply the Inner terms:%281%2F3%29%2A%28r%29=%281%2F3%29r


%28r%2Bhighlight%281%2F3%29%29%28r%2Bhighlight%28y%29%29 Multiply the Last terms:%281%2F3%29%2A%28y%29=%281%2F3%29%281%2F4%29


r%5E2%2B%281%2F4%29r%2B%281%2F3%29r%2B%281%2F3%29%281%2F4%29 Now collect every term to make a single expression


r%5E2%2B%287%2F12%29r%2B1%2F12 Combine like terms and multiply


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Answer:
So %28r%2B1%2F3%29%28r%2B1%2F4%29 foils and simplifies to r%5E2%2B%287%2F12%29r%2B1%2F12

In other words, %28r%2B1%2F3%29%28r%2B1%2F4%29=r%5E2%2B%287%2F12%29r%2B1%2F12